What is the 9509th prime number?
The 9509th prime number is 99041. The next prime is 99053 (a gap of 12) and the one before is 99023.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 9509th one is 99041.
- 2
99041 is prime because no prime up to ā99041 ā 314.71 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9509th prime is close to 9509 Ć ln(9509) ā 87102, and here it is 99041.
- 4
99041 has no twin: neither 99039 nor 99043 is prime.
Primes around the 9509th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9506 | 99013 | 14 |
| 9507 | 99017 | 4 |
| 9508 | 99023 | 6 |
| 9509 | 99041 | 18 |
| 9510 | 99053 | 12 |
| 9511 | 99079 | 26 |
| 9512 | 99083 | 4 |
Questions
What is the 9509th prime number?
99041.
Which prime number is 99041?
99041 is the 9509th prime number.
What is the sum of the first 9509 primes?
446,136,008.